Definition:Positive Definite
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Positive Definite may refer to:
- Abstract Algebra:
- Positive Definite Function on Ring: $\forall x \in R: \begin {cases} \map f x = 0 & : x = 0_R \\ \map f x > 0 & : x \ne 0_R \end {cases}$
- Matrix Theory:
- Positive Definite Matrix: a symmetric matrix whose eigenvalues are all strictly positive.
This article is complete as far as it goes, but it could do with expansion. In particular: Several more instances of this in the various contexts, in particular for hermitian matrices. Research to be done. You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by adding this information. To discuss this page in more detail, feel free to use the talk page. When this work has been completed, you may remove this instance of {{Expand}} from the code.If you would welcome a second opinion as to whether your work is correct, add a call to {{Proofread}} the page. |